Tombides passed away on Friday at the age of 20 following a brave battle with cancer.
Allardyce said: "Dylan was one of the bravest characters I have ever met and nobody fought his dreadful disease as hard as this lad. Football was his life and he didn't miss a day's training even when he wasn't fit enough to train because of his treatment. He had an incredible hunger for life, which was why he fought this terrible disease so strongly. All of our thoughts are with Dylan's family at this time."
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